Julie gave 2 cards to every boy and 8 cards to every girl in her class. There were 8 more boys than girls in the class. She gave away a total of 106 cards.
- How many children were there in the class?
- How many less cards were given to the boys than the girls?
(a)
There were more boys than girls in class.
If we remove the 8 extra boys, the number of boys and girls will be the same.
Julie would give away less cards.
Number of less cards that Julie needed to give away if there was 8 less boys
= 8 x 2
= 16
Number of cards she would need if there was 8 less boys
= 106 - 16
= 90
Number of cards to give for every 1 boy and 1 girl
= 2 + 8
= 10
Number of sets of 1 boy and 1 girl
= 90 ÷ 10
= 9
Number of girls = 9
Number of boys
= 9 + 8
= 17
Number of children
= 9 + 17
= 26
(b)
Number of cards given to the boys
= 17 x 2
= 34
Number of cards given to the girls
= 9 x 8
= 72
Number of less cards given to the boys than the girls
= 72 - 34
= 38
Answer(s): (a) 26; (b) 38
